$\int \frac{2 x + 5}{x^{2} + 5 x + 6} d x$

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Solution

Let $t = x^{2} + 5 x + 6 ⟹ d t = (2 x + 5) d x$

$\int \frac{1}{t} d t = log t + c ⟹ log (x^{2} + 5 x + 6) + c$

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